what are the solutions ?
[tex]7x ^{2} + 10x - 3 = x ^{2} + 3x[/tex]
​

Given:

Point A (4, -3) is translated 3 units horizontally and -5 units vertically, rotated 90° clockwise, reflected over the x-axis, and dilated by a factor of 5.

To find:

The rule and coordinates of A'.

Solution:

Let a point be P(x,y).

If a point translated 3 units horizontally and -5 units vertically, then

[tex]P(x,y)\to P_1(x+3,y-5)[/tex]

Then, rotated 90° clockwise.

[tex](x,y)\to (y,-x)[/tex]

[tex]P_1(x+3,y-5)\to P_2(y-5,-(x+3))[/tex]

Then, reflected over the x-axis.

[tex](x,y)\to (x,-y)[/tex]

[tex]P_2(y-5,-(x+3))\to P_3(y-5,x+3)[/tex]

Dilated by a factor of 5.

[tex](x,y)\to (5x,5y)[/tex]

[tex]P_3(y-5,x+3)\to P'(5(y-5),5(x+3))[/tex]

[tex]P_3(y-5,x+3)\to P'(5y-25,5x+15)[/tex]

So, the rule of transformation is

[tex](x,y)\to (5y-25,5x+15)[/tex]

We have a point A(4,-3). So, put x=4 and y=-3.

[tex]A(x,y)\to A'(5(-3)-25,5(4)+15)[/tex]

[tex]A(x,y)\to A'(-15-25,20+15)[/tex]

[tex]A(x,y)\to A'(-40,35)[/tex]

Therefore, the coordinate of point A' are (-40,35).

Answer:

The difference $2.733.30

Step-by-step explanation:

Let the total money be x

The remaining money will be (x-1400)

40% of this on a bed

= 40/100 (x-1400)

= 0.4(x-1400)

cost of bed is 25% of x

Thus;

0.4(x-1400) = 25/100 * x

0.4(x-1400) = 0.25x

0.4x - 560 = 0.25x

0.4x-0.25x = 560

= 0.15x = 560

x = 560/0.15

So the difference between the tv and. bed, will be ;

560/0.15 - 1400

= (560-210)/0.15 = $2,333.33

Answer:

(-2, -12), (0, 2), (2, 16), (4, 30)

Step-by-step explanation:

Input: -2

y = 7x + 2

y = 7(-2) + 2

y = -14 + 2

y = -12 (Output)

Input: 0

y = 7x + 2

y = 7(0) + 2

y = 0 + 2

y = 2 (Output)

Input : 2

y = 7x + 2

y = 7(2) + 2

y = 14 + 2

y = 16 (Output)

Input: 4

y = 7x + 2

y = 7(4) + 2

y = 28 + 2

y = 30 (Output)

Answer:

Done!

Step-by-step explanation:

1. 4 is a coefficient

x is a variable

12 is a constant

2. a is a variable

3 is a coefficient

b is a variable

P + t -7 =6

10+3-7=6

10+3=13

13-7=6

P=10 t=3

The values of the numbers p and t will be 10 and 3 respectively.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The value of the numbers will be calculated as:-

P + t -7 =6

10+3-7=6

10+3=13

13-7=6

P=10 t=3

Therefore, the values of the numbers p and t will be 10 and 3 respectively.

To know more about an expression follow

brainly.com/question/2164351

#SPJ2

Answer:

$22.5

Step-by-step explanation:

25% of $90

25% x 90

0.25 x 90

$22.5

Answer:

y=-3/4x+5.5

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

You would start by subtracting $30 from $151 which is $121.

Then you would divide this by 11 which 121÷11=11

So 11 test were bought.

Answer:

11

Step-by-step explanation:

140 - 30 =110

110 ÷ 10 = 11

answer is 11 hours

Answer:

[tex]given \\ \frac{ {(y + 1)}^{5} }{(y + 1) ^{3} } \\ as \: they \: have \: same \: base \\ {(y + 1)}^{5 - 3} \\ = (y + 1) ^{2} \\ or \: we \: can \: write \\ = (y + 1)(y + 1) \\ \\ hope \: it \: helps.[/tex]

Answer:

The answer is  [tex]y^2+2y+1[/tex]

Explanation:

- Properties of Exponent -

[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

Our a is y+1

Our m is 5

Our n is 3

[tex]\frac{(y+1)^5}{(y+1)^3}=(y+1)^{5-3}\\(y+1)^2[/tex]

- Multiply The Polynomial -

As for the Quadratic Polynomial and being squared, we use the following formula:

[tex](x+y)^2=x^2+2xy+y^2[/tex]

Our x is y

Our y is 1

Thus,

[tex](y+1)^2=y^2+2(y)(1)+1^2\\(y+1)^2=y^2+2y+1[/tex]

As our simplified, multiplied form is [tex]y^2+2y+1[/tex]

Answer:

x = 22

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

other angle that is not x is 180-134= 46 degrees

180-(46+112)=x

180-158=x

22=x

Answer:

184

Step-by-step explanation:

hope this helps!! :D

Answer:

0.857 weeks

Step-by-step explanation:

Using the information provided we can create the following equations for the total amount Mallory (M) and Aimee (A) will save after x number of weeks...

M = 35 + 15x

A = 5 + 50x

Now we would need to make both of these equations equal one another and solve for x to calculate after how many week both Aimee and Mallory will have saved the same amount of money

35 + 15x = 5 + 50x  ... subtract 5 and 15x from both sides

30 = 35x  ... divide both sides by 35

[tex]\frac{30}{35}[/tex] or 0.857 = x

Finally, we can see that after 0.857 weeks both Mallory and Aimee will have saved the same amount of money.

*** The process provided is correct but I believe that the actual values for Aimees savings should be $50 and plans to save $5 a week, this would make the final result 1.5 weeks which would make more sense***

Answer:

1) £2 = €2.32

£5 = €5.80

£50 = €58

2) The graph will be a straight line

3) (0, 0)

4) Label the independent variable, £ on the x-axis and dependent variable € on the y-axis

Step-by-step explanation:

1) The given conversion factors is £1 = €1.16

Therefore;

£2 = 2 × €1.16 = €2.32

£2 = €2.32

£5 = 5 × €1.16 = €5.80

£5 = €5.80

£50 = 50 × €1.16 = €58

£50 = €58

2) The shape of the plot of the directly proportional currencies graph will be a straight line

3) Given that the £ is directly proportional to the € and that the value of the € can be found directly by multiplying the amount in £ by 1.16, without the addition of a constant, the graph crosses the axes at the origin (0, 0)

4) The y-axes which is the dependent variable should be labelled €, while the x-axis which is the independent variable should be labelled £

Answer:

7

Step-by-step explanation:

A square has 4 sides, all of equal length. We can simply find the square root of the area to find the length and width, or length of each side. So to find the length, you find the square root of the area.

[tex] \sqrt{49} = 7[/tex]

Answer: I Believe 15%, But I'd Double Check.

9514 1404 393

Answer:

  4

Step-by-step explanation:

The least common multiple of 13 and 21 is 274, so the number of interest will be 10 less than that. The value in the given range is ...

  2(274) -10 = 536

We are interested in the remainder from 536/19, which is 4.

__

536 = 13·41 +3 = 21·25 +11 = 19·28 +4

Answer:

When x=2, both expressions have a value of 18.

The expressions have equivalent values for any value of x.

The expressions have equivalent values if x=8

Step-by-step explanation:

James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply. 7 x + 4 and 3 x + 5 + 4 x minus 1

When x = 2, both expressions have a value of 18.

7x + 4

= 7(2) + 4

= 14 + 4

= 18

3x + 5 + 4x - 1

3(2) + 5 + 4(2) - 1

6 + 5 + 8 - 1

= 18

The expressions are only equivalent for x = 4 and x = 6.

• This is not true because the expression is also equivalent for x = 2

The expressions are only equivalent when evaluated with even values.

When x = 1

7x + 4

7(1) + 4

= 7 + 4

= 11

3x + 5 + 4x - 1

3(1) + 5 + 4(1) - 1

3 + 5 + 4 - 1

= 11

The expressions have equivalent values for any value of x.

Yes, it has an equivalent value at any value of x

The expressions should have been evaluated with one odd value and one even value.

When x = 0, the first expression has a value of 4 and the second expression has a value of 5.

7x + 4

7(0) + 4

= 0 + 4

= 4

3x + 5 + 4x - 1

3(0) + 5 + 4(0) - 1

0 + 5 + 0 -1

= 4

The expressions have equivalent values if x = 8.

7x + 4

7(8) + 4

56 + 4

= 60

3x + 5 + 4x - 1

3(8) + 5 + 4(8) - 1

24 + 5 + 32 - 1

= 60

Answer:

1,4,7

Step-by-step explanation:

Answer:

If he starts at his house (4,-2) and goes left 3 and up 3 he ends up at C. (1,1)

Answer:

sdadawdasdwasda

c 11

Answer:

Step-by-step explanation:

1/2

Answer:

30(30-x)=540

Step-by-step explanation:

Answer:

30(30 – x) = 540

c

Step-by-step explanation:

hi , which grade r u in ?

Responder:

$ 131.25

Explicación paso a paso:

Dado que :

Importe pagado tras sucesivos descuentos del 10% y 20%

Sea el costo original = x

Importe final tras ambos descuentos = 94,5

Primer descuento = (1 - 0.1) x = 0.9x

Segundo descuento: (1 - 0.2) de 0.9x = 0.8 de 0.9x = 94.5

Es decir ; 0,8 * 0,9x = 94,50

0,72x = 94,50

Dividir ambos lados por 0,72

0,72x / 0,72 = 94,50 / 0,72

x = 131,25

Por lo tanto, precio original = $ 131.25

Answer:

[tex]y=-\frac{3}{2} x+3[/tex]

Step-by-step explanation:

The slope (m) is [tex]-\frac{3}{2}[/tex] by finding the rise (the change in y ⇒ ∆y), over the run (the change in x ⇒ ∆x) from any two points from the line. In this case, the rise is -3, and the run is 2 OR you can say that the rise is 3, and the run is -2.

The y-intercept (b) is 3 because it’s where it intersects the y-axis. If you see the image, you can see that the line intersects the y-axis at the point (0, 3). So, the y-intercept (b) is 3.

Put it all together in Slope-intercept form, which is y=mx+b. So the m (slope) is [tex]-\frac{3}{2}[/tex] and the b (y-intercept) is 3. Plug those in to get: [tex]y=-\frac{3}{2} x+3[/tex]

Hope this helps! :)

Answer:

18 square centimeters

Step-by-step explanation:

To find the area of a rectangle follow the formula, A=lw. Where A is the area, l is the length, and w is the width. So to find the area plug the dimensions into the formula. This would be A=6 x 3, which equals 18. Therefore the answer is 18 centimeters squared.

Answer:

9 cm

Step-by-step explanation:

Area is length x width

3 cm x 3 cm = 9 cm

But if you are doing the problem from the picture it is

A = 6 cm x 3 cm

= 18 cm

Answer:

So, lets say the refridgerator started at 37 degrees F alright?

Step-by-step explanation:

37 - 4 = 33

33 + 2 = 35

35 - 7 = 28

28 - 1 = 27

27 + 3 = 30

30 + 1 = 31

So the final temurature at 2:00pm would be 31 degrees F

Hope this helped :)

Answer:

30%

Step-by-step explanation:

lol

Answer:

The answer to this problem would be 30%

Step-by-step explanation:

I had this exact problem, and I got it correct......